If ‘n’ is a natural number, then 4n – 3n ends with a digit x. The number of possible values of x is

Question

If ‘n’ is a natural number, then 4n – 3n ends with a digit x. The number of possible values of x is
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Solution 1

The problem is asking for the number of possible last digits (units place) of the expression 4n - 3n for any natural number n.

Step 1: Let's first understand the pattern of the last digit of powers of 4 and 3.

Powers of 4: 4^1 = 4, 4^2 = 16, 4^3 = 64, 4^4 = 256, 4^5 = 1024, ... The last digit repe Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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